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Finding the Third Proportional to 76,617,879,982 and 179,013,945,818

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Solution

The third proportional to 76,617,879,982 and 179,013,945,818 is: 418,257,367,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,617,879,982 : 179,013,945,818 = 179,013,945,818 : x
  2. Step 2: Convert to fraction form
    76,617,879,982/179,013,945,818 = 179,013,945,818/x
  3. Step 3: Cross multiply
    76,617,879,982x = 179,013,945,818 × 179,013,945,818
  4. Step 4: Simplify right side
    76,617,879,982x = 32,045,992,797,329,841,717,248
  5. Step 5: Solve for x
    x = 32,045,992,797,329,841,717,248/76,617,879,982
  6. Step 6: Final answer
    x = 418,257,367,664.81

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.